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Math

Arithmetic Progression G10

What is common between the three sequences mentioned below 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66 -35, -30, -25, -20, -15, -10, -5 All of the above-mentioned sequences are Arithmetic progressions abbreviated as AP. And what do we mean by …

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Binomial Theorem

How do you think an architecture calculates the amount of time-period required for completion of a project? Or how does one know much material will be required for the construction of any structure? Well, this is done using an interesting concept known as ‘Binomial theorem’. And what do we mean by this? A polynomial consisting …

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Linear Progamming

Sometimes to deal with a problem we need to optimize certain resources. These resources could be either time, money, or anything else. These resources are also called ‘constraints’. One of the best examples of this is our diet. We need more protein for building muscles, but we also need carbohydrates for energy. So we need …

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Quadratic Equations

When you throw a ball in the air it covers a path that can be modeled by a parabola. For any given height there will be two positions of the ball. A simple parabola equation is y = x2. Here we can see that ‘y’ can be either ‘+x’ or ‘-x’. So quadratic equation is …

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Complex Numbers

Can you recall any number that has a negative value for its square? You might have multiplied several numbers, but none of those would have given you a negative square. There arises the complexity. There are negative squares – which are identified as ‘complex numbers’. For instance: -1i is a complex number. Here ‘i’ refers …

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Circles G10

Try solving this riddle. I have no vertices. I have no flat faces. I have infinite axes of symmetry. Who am I? It’s a Circle. We find circular objects everywhere from round cakes and bangles, to dartboard and cycle wheels. No wonder, the world of circles takes us to another tangent. Surprisingly, tangents are exclusively …

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Construction G10

Imagine you are constructing a bridge. The instructions given for the construction should be followed precisely. Lack of understanding may result in the bridge to collapse. So, measurements and accuracy play a key role in any construction. On similar lines, when it comes to construction in mathematics, it holds the same strategy. Firstly, we should …

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